EXPONENTIAL INEQUALITY FOR CHAOS BASED ON SAMPLING WITHOUT REPLACEMENT

Creators: Hodara, P; Reynaud-Bouret, Patricia

Others:: Institut National de la Recherche Agronomique (INRA); Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA); ANR-15-IDEX-0001,UCA JEDI,Idex UCA JEDI(2015); ANR-19-P3IA-0002,3IA@cote d'azur,3IA Côte d'Azur(2019)

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We are interested in the behavior of particular functionals, in a framework where the only source of randomness is a sampling without replacement. More precisely the aim of this short note is to prove an exponential concentration inequality for special U-statistics of order 2, that can be seen as chaos.

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EXPONENTIAL INEQUALITY FOR CHAOS BASED ON SAMPLING WITHOUT REPLACEMENT

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